Indian Air Force Agniveer Science & Other than Science Mock Test - 10 - Indian Air Force Agniveer Vayu MCQ

• The radioactivity of uranium was discovered in 1896 by Henri Becquerel.
• Though it was Henri Becquerel that discovered radioactivity, it was Marie Curie who coined the term.

Additional Information: Marie Curie became the first woman to be awarded the Nobel prize and the first person to obtain two Nobel prizes when she won the prize for the discovery of Polonium and Radium in 1911.

When frequency decreases, capacitive reactance XC​=1/2πνC​ increases and hence impedance in the circuit Z=√(R2+XC2​)​ increases and so current I=V/Z​ decreases. As a result, the brightness of the bulb is reduced.
 

The electromagnetic waves are not mechanical waves. There are vibrations of electric vectors and magnetic vectors in them. These vibrations do not need any particles present in the medium for their propagation. That's why electromagnetic waves do not require any medium for propagation.This means that electromagnetic waves can travel not only through air and solid materials, but also through the vacuum of space.

²⁰C_r = ²⁰C_r+2
ⁿC_r = ⁿC_n-r
=> r + (n−r) = n
⇒ r + r + 2 = 20
⇒ 2r = 18
⇒ r = 9
^rC₆ = ⁹C₆
⇒ 9!/(6!*3!)
= 84

Sum (S_n) = a x (rⁿ -1)/(r-1)
5460 = 4 x (4ⁿ -1)/3
16380 = 4ⁿ⁺¹ - 4

16384 = 4ⁿ⁺¹

4⁷ = 4ⁿ⁺¹

7 = n + 1

n = 6

Line y = 0  is X-axis slope of this line = 0 = m1 
line x-y = 0 is y = x which is passes through (0,0)  slope of this line = 45 = m2
tanФ = (m2-m1)/(1-m1m2) = (1-0)/(1-1*0)
        = 1/1 = 1
tanФ =1 
Ф = 45

Comparing the equation with the standard form ax²+2hxy+by²+2gx+2fy+c=0
a=2,h=−3/2,b=5,g=3,f=−3/2,c=5
Δ=abc+2fgh−af²−bg²−ch²
=(2)(5)(5)+2(−3/2)(3)(−3/2)−(2)(−3/2)²−(5)(3)²−(5)(−3/2)²
=50+27/2−9/2−45−225/4
=−169/4 is not equal to 0
Descriminant =h²−ab
=(−3/2)²−(2)(5)
= 9/4−10
= −31/4<0
So, the curve represents either a circle or an ellipse
a is not equal to b and  
Δ/a+b = −(169/4)/2+5
=−169/28<0
So, the curve represents a ellipse.

The possible orders in which the matrix with 6 elements can be formed are 2×3, 3×2, 1×6, 6×1.

Therefore, the possible orders pairs are (2,3), (3,2), (1,6), (6,1).

Thus, (3,1) is not possible.

Therefore, the correct answer is D.

 f(x) = x + cot x
f’(x) = 1 + (-cosec² x)
f”(x) = 0 - 2cosec x(-cosec x cot x)
= 2 cosec² x cot x
f”(π/4) = 2 cosec² (π/4) cot(π/4)
= 2 [(2)^½]² (1)
= 4

The modulus function has V-shaped graph,which means that it has only one minima.

Let I=∫(0 to k) 1/[1 + 4x²]dx = π8
Now, ∫(0 to k) 1/[4(1/4 + x²)]dx
= 2/4[tan⁻¹ 2x]0 to k
= 1/2tan^-1 2k − 0 = π/8
1/2tan⁻¹ 2k = π8
⇒ tan⁻¹ 2k = π/4
⇒ 2k = 1
∴ k = 1/2

The two curves y² = 4x and y = x meet where x² = 4x i.e ..where x = 0 or x = 4 . Moreover , the parabola lies above the line y = x between x = 0 and x = 4 . Hence , the required are is :

Commissioned means come to starts and terminated means comes to end. Commission means mission or we can also called as a special group delegated to consider some matter. Termination means a coming to end of a contract period. The antonym for the commission is probit.

This statement is wrong: To do it

Correct Statement will be: In doing it.

The passage explains that due to increased competition, the market opened up to more imports. The phrase “Imports suddenly became _____ available” is best completed by “easily,” meaning that these goods started reaching the market without difficulty and at lower prices.

There are two possible constructions after ‘require’ One is ‘someone requires someone else to do something’. The other uses the subjunctive. For example, ‘I require that you be on time’. The subjunctive is always introduced by ‘that’. Choice A does not fit the correct subjunctive pattern as it uses ‘should’, instead of just the infinitive of the verb without ‘to’. B is grammatically correct but it is passive. C is passive and uses ‘retaining’ instead of ‘retention’. D is also grammatically correct and is shorter and simpler than B and is therefore the correct answer. It is active rather than the passive B.

This sentence clearly has to do with tense agreement. You can reduce the sentence down to the simple form: A woman was guided in x and y. The use of ‘by’ in the part of the sentence which cannot be changed means that the verb before ‘by’ will be in the passive.  ‘And’ in options A and C is more economical than ‘as well as’ in the other options. The use of ‘also’ in B is unnecessary. C is wordy. You could eliminate ‘and that she was’. D repeats this error. A is correct.

The context is 'problems of wildlife used in performances'. The sequence is 1-4-3. In sentence 4, their natural behaviour is explained 'In the wild ... roam ... hunt ... sleep ...' and sentence 3 is directly related to it 'none of these behaviour', so 4-3 are linked. Sentence 2 is out of context as it is does not relate to any other sentence and is also not related to the problems of wildlife used in performances.

As per the given context of the sentence, it is regarding the fact that the company has decided to do something regarding the Q1 results of the company. The company has also informed the same to the exchanges as per the requirement of the regulatory authority. Now for the first blank we can see that filing can be used as the company must have filed something in the exchanges whereas the second blank should be perfect for the word extend. Other words are not relevant in the context of the sentence.

This makes Option C the correct choice among the given options.

Refer to, “After a worrying pre-monsoon phase between March and May, when rainfall was scarce, the current robust season in most parts of coastal, western and central India augurs well for the entire economy.”

It is clear from the passage that the monsoon will be robust now after a worrying start to the monsoon season in the country. Now most of the areas in the country will have adequate rainfall. It is taking place in certain areas whereas there will be rainfall in the other areas in the days to come. There is no prediction of any kind of drought in the country this year. Among the given options, we can see that Option B gives us the correct information whereas the rest are irrelevant and hence eliminated from consideration.

This makes Option B the correct choice among the given options.

Refer to, “States must be aware of the scientific consensus: that future rain spells may be short, often unpredictable and very heavy influenced by a changing climate.”

It is clear from the passage that the future rain spells will not be very much predictable since there will be rains sometime very heavily and it will mainly be because of the changing climate in India as well as in other areas of the world. The scientific community has already explained that it is going to be the future of monsoon and the states should be prepared to handle such situations. Among the given options, we can easily choose Option D for this since it gives us the correct information whereas the rest can be eliminated for being irrelevant in the context of the passage.

This makes Option D the correct choice among the given options.

The one word substitution is Polygamy.

Misogamy : the hatred of marriage.
Bigamy : the offence of marrying someone while already married to another person.
Monogamy : the practice of marrying or state of being married to one person at a time.
Polygamy : the practice or custom of having more than one wife or husband at the same time.

Explanation:

1. The first telegraph line in India: The first telegraph line in India was indeed laid between Kolkata (then known as Calcutta) and Diamond Harbour in 1850. This marked the beginning of telegraph communication in India.

2. The first Export Processing Zone (EPZ) in India: The first Export Processing Zone (EPZ) in India was established in Kandla, Gujarat, in 1965. It was set up to promote exports by providing various incentives and facilities to export-oriented businesses.

Since both statements are correct, the answer is Both 1 and 2.

To find the distance between Rohit's final position and his house, we can solve this problem using vector addition.
Step 1: Break down the directions and distances into components
- South-East: This direction can be broken down into two components, South and East.
- South: 7 * cos(45) = 7 * 0.707 = 4.95 km
- East: 7 * sin(45) = 7 * 0.707 = 4.95 km
- West: This direction has only one component, West.
- West: 14 km
- North-West: This direction can be broken down into two components, North and West.
- North: 7 * cos(45) = 7 * 0.707 = 4.95 km
- West: 7 * sin(45) = 7 * 0.707 = 4.95 km
- East: This direction has only one component, East.
- East: 9 km
Step 2: Add all the components
- Total South: 4.95 km
- Total East: 4.95 + 9 = 13.95 km
- Total North: 4.95 km
- Total West: 14 + 4.95 = 18.95 km
Step 3: Find the net displacement in North-South and East-West directions
- Net displacement in North-South direction: Total North - Total South = 4.95 - 4.95 = 0 km
- Net displacement in East-West direction: Total East - Total West = 13.95 - 18.95 = -5 km (negative sign indicates the direction is West)
Step 4: Calculate the distance
Since the net displacement in the North-South direction is 0 km, the total distance Rohit is from his house is the same as the net displacement in the East-West direction, which is 5 km (ignoring the negative sign as distance is always positive).
Answer: D. 5 km

3 + 1² + 1= 5
5 + 3² – 1= 13
13 + 5² + 1= 39……..

6*1 – 1 + 2 = 7
7*2 – 2 + 4 = 16
16*3 – 1 + 6 = 53

The Siemens is the unit of electric conductance, electric susceptance and electric admittance in the International System of Units (SI).

CP of 1000 gm = Rs. x
CP per gram = CP of 1 gm = Rs. x/1000
SP of 960 gm = Rs. x
SP per gram = SP of 1 gm = Rs. x/960

Radius of the hemisphere = Radius of the cylinder = Height of the hemisphere = 3.5 cm
Height of the cylinder = Total height - 2 × (Radius of the hemisphere)
Height of the cylinder = 19 cm - 7 cm = 12 cm
Radius of the hemisphere = 3.5 cm
Surface area of the solid = Surface area of the cylinder + 2 × (Surface area of the hemisphere)
= (2πrh) + 2 × (2πr²)
= (2 × (22/7) × 3.5(12 + 7)) cm² = 22 × 19 sq. cm = 418 cm²